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Finding the Fourth Proportional to 2,831.47, 4,247.22 and 883.51

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Solution

The fourth proportional to 2,831.47, 4,247.22 and 883.51 is: 1,325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.47 : 4,247.22 = 883.51 : x
  2. Step 2: Convert to fraction form
    2,831.47/4,247.22 = 883.51/x
  3. Step 3: Cross multiply
    2,831.47x = 4,247.22 × 883.51
  4. Step 4: Simplify right side
    2,831.47x = 3,752,461.34
  5. Step 5: Solve for x
    x = 3,752,461.34/2,831.47
  6. Step 6: Final answer
    x = 1,325.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.